Rchr
J-GLOBAL ID:202101012923522826
Update date: Jun. 17, 2024
Mori Takahiro
モリ タカヒロ | Mori Takahiro
Affiliation and department:
Job title:
Assistant Professor
Homepage URL (1):
https://mori-takahiro.github.io/
Research field (1):
Basic analysis
Research keywords (1):
Probability
Research theme for competitive and other funds (4):
- 2021 - 2023 Sobolev-Orlicz embedding theorems for Dirichlet spaces and their probabilistic interpretation
- 2021 - 2022 Intersections of complex networks in real world and infinite particle systems II
- 2021 - 2021 Intersections of complex networks in real world and infinite particle systems
- 2018 - 2021 確率過程の軌跡に関する交差現象の解析
Papers (4):
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Takahiro Mori. Large deviation principle for the intersection measure of Brownian motions on unbounded domains. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 2023. 59. 1
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Kazuhiro Kuwae, Takahiro Mori. $L^p$-Kato class measures for symmetric Markov processes under heat kernel estimates. Mathematische Annalen. 2021
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Takahiro Mori. $L^p$-Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces. Journal of Functional Analysis. 2021
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Takahiro Mori. Large deviations for intersection measures of some Markov processes. Mathematische Nachrichten. 2020
MISC (2):
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森 隆大. $L^p$-Kato測度とDirichlet空間のSobolev埋め込みとの関係について. 京都大学数理解析研究所講究録. 2021. 2177
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Kazuhiro Kuwae, Takahiro Mori. $L^p$-Green-tight measures of $L^p$-Kato class for symmetric Markov processes. arXiv:2011.00762. 2020
Lectures and oral presentations (22):
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Interpretation of capacities and hitting distributions via the boundary theory for symmetric Markov processes
(French Japanese Conference on Probability & Interactions 2024)
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Interpretation of capacities and hitting distributions via the boundary theory for symmetric Markov processes
(Stochastic Processes and Related Fields 2023)
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Interpretation of capacities and hitting distributions via the boundary theory for symmetric Markov processes
(Probability Seminar at Kansai University 2023)
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Interpretation of capacities and hitting distributions via the boundary theory for symmetric Markov processes
(Kansai Probability Seminar 2023)
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Interpretation of capacity by Markov processes starting from infinity
(Probability Seminar at Fukuoka University 2023)
more...
Education (3):
- 2018 - 2021 Kyoto University Graduate School of Science Department of Mathematics Division of Mathematics and Mathematical Sciences (Doctoral course)
- 2016 - 2018 Kyoto University Graduate School of Science Department of Mathematics Division of Mathematics and Mathematical Sciences (Master's course)
- 2012 - 2016 Kyoto University Faculty of Science
Professional career (2):
- Doctor of Science (Kyoto University)
- Master of Science (Kyoto University)
Work history (4):
- 2021/10 - 現在 Kyoto Institute of Technology Faculty of Arts and Sciences Assistant Professor
- 2021/04 - 現在 Kyoto University Institute for Liberal Arts and Sciences part-time teacher
- 2021/04 - 2021/09 Kyoto University Research Institute for Mathematical Sciences Researcher
- 2018/04 - 2021/03 Japan Society for the Promotion of Science Research Fellowships for Young Scientists DC1
Association Membership(s) (1):
The Mathematical Society of Japan
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